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Part of video series Non-Linear Relationships / Functions / Models
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Be familiar with and recognize the algebraic form for a quadratic model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
- Notes - Notes from this lesson.
- What is a quadratic model?
- What is a non-linear model?
- What happens in a model if you do not have a constant rate of change?
- What is standard form for a quadratic function?
- What is vertex form for a quadratic function?
- What are the parameters of a quadratic model?
- How do you find the initial value of a quadratic function?
- What is the linear parameter and what is the quadratic parameter in a quadratic model?
- How can you tell whether a quadratic function opens up or down from the function?
- How do you find the values of parameters in a quadratic model?
- How can you write a quadratic function given two points (2, 10) and (3, 8) and an initial value of 0?
- How can you use a TI graphing calculator to model a quadratic function by doing a quadratic regression?
- How many points do you need to specify a quadratic function?
This lesson introduces non-linear functions using a quadratic model. The parameters of a function are explained and then discovered for quadratic functions. You can be given several different pieces of information and be expected to find unknown parameters. This is a very good quadratic model tutorial. A TI graphing calculator is also used in this lesson.